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Idempotent rank in the endomorphism monoid of a non-uniform partition
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dc.contributor.author | Dolinka, Igor | |
dc.contributor.author | East, James | |
dc.contributor.author | Mitchell, James D. | |
dc.date.accessioned | 2016-08-09T09:30:14Z | |
dc.date.available | 2016-08-09T09:30:14Z | |
dc.date.issued | 2016-02 | |
dc.identifier | 212674032 | |
dc.identifier | bf8929c0-c2f4-4fe7-8415-287da4064d2b | |
dc.identifier | 84938828148 | |
dc.identifier | 000367384000009 | |
dc.identifier.citation | Dolinka , I , East , J & Mitchell , J D 2016 , ' Idempotent rank in the endomorphism monoid of a non-uniform partition ' , Bulletin of the Australian Mathematical Society , vol. 93 , no. 1 , pp. 73-91 . https://doi.org/10.1017/S0004972715000751 | en |
dc.identifier.issn | 0004-9727 | |
dc.identifier.other | ArXiv: http://arxiv.org/abs/1504.02520v1 | |
dc.identifier.other | ORCID: /0000-0002-5489-1617/work/73700788 | |
dc.identifier.uri | https://hdl.handle.net/10023/9275 | |
dc.description.abstract | We calculate the rank and idempotent rank of the semigroup E(X,P) generated by the idempotents of the semigroup T(X,P), which consists of all transformations of the finite set X preserving a non-uniform partition P. We also classify and enumerate the idempotent generating sets of this minimal possible size. This extends results of the first two authors in the uniform case. | |
dc.format.extent | 396505 | |
dc.language.iso | eng | |
dc.relation.ispartof | Bulletin of the Australian Mathematical Society | en |
dc.subject | Transformation semigroups | en |
dc.subject | Idempotents | en |
dc.subject | Generators | en |
dc.subject | Rank | en |
dc.subject | Idempotent rank | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | Idempotent rank in the endomorphism monoid of a non-uniform partition | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | 10.1017/S0004972715000751 | |
dc.description.status | Peer reviewed | en |
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